Search a number
-
+
210100000001 is a prime number
BaseRepresentation
bin1100001110101011101…
…1111001010100000001
3202002022020012211211112
43003222323321110001
511420241100000001
6240304004053105
721115321351103
oct3035273712401
9662266184745
10210100000001
1181114a77741
1234876094195
1316a73950138
14a251635573
1556e9ed6cbb
hex30eaef9501

210100000001 has 2 divisors, whose sum is σ = 210100000002. Its totient is φ = 210100000000.

The previous prime is 210099999997. The next prime is 210100000031. The reversal of 210100000001 is 100000001012.

It is a happy number.

210100000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132314790001 + 77785210000 = 363751^2 + 278900^2 .

It is a cyclic number.

It is not a de Polignac number, because 210100000001 - 22 = 210099999997 is a prime.

It is not a weakly prime, because it can be changed into another prime (210100000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050000000 + 105050000001.

It is an arithmetic number, because the mean of its divisors is an integer number (105050000001).

Almost surely, 2210100000001 is an apocalyptic number.

It is an amenable number.

210100000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100000001 is an equidigital number, since it uses as much as digits as its factorization.

210100000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 210100000001 its reverse (100000001012), we get a palindrome (310100001013).

The spelling of 210100000001 in words is "two hundred ten billion, one hundred million, one", and thus it is an aban number.